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Finding the Third Proportional to 91,584 and 195,168

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Solution

The third proportional to 91,584 and 195,168 is: 415,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,584 : 195,168 = 195,168 : x
  2. Step 2: Convert to fraction form
    91,584/195,168 = 195,168/x
  3. Step 3: Cross multiply
    91,584x = 195,168 × 195,168
  4. Step 4: Simplify right side
    91,584x = 38,090,548,224
  5. Step 5: Solve for x
    x = 38,090,548,224/91,584
  6. Step 6: Final answer
    x = 415,908.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.